Localization for the Anderson Model on Trees with Finite Dimensions

Details Localization for the Anderson Model on Trees with Finite Dimensions Localization for the Anderson Model on Trees with Finite Dimensions

2006-09-17

arxiv.org/abs/math/0609474v1

Mathematics

Spectral Theory

Scientific paper

10.1007/s00023-007-0344-6

We introduce a family of trees that interpolate between the Bethe lattice and
$\bbZ$. We prove complete localization for the Anderson model on any member of
that family.

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